Liouvillian quasinormal modes of Reissner-Nordstrom black holes

We identify a countable infinity of new exact, closed-form, quasinormal mode perturbations of Reissner-Nordstrom black holes. We obtain a finite number of these modes explicitly, together with the values of the quasinormal frequency and the black hole charge for which the modes are valid. These modes are contained in the Liouvillian perturbations obtained from the application of Kovacic's well-known algorithm to Chandrasekhar's radial equations. Our results suggest that the set of quasinormal modes found in this paper, plus the known algebraically special perturbations, are the only Liouvillian quasinormal modes of Reissner-Nordstrom.